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Jeanne babysits for $7 per hour. She also works as a tutor for $9 per hour. She is only allowed to work 18 hours per week. She wants to make at least $65. Let x be the hours worked babysitting and let y be the hours worked tutoring. Model the scenario with a system of inequalities. Please show all work. Thanks <3

Verified Answer :

texaschic101

7x + 9y > = 65
x + y < = 18

JeanaShupp

Answer: \(x+y\leq18\) and \(7x+9y\geq65\)


Step-by-step explanation:

Let x be the hours worked babysitting and let y be the hours worked tutoring.

As Jeanne babysits for $7 per hour. She also works as a tutor for $9 per hour.

Total hours she can work= 18 hours

Thus,  \(x+y\leq18\)

She wants to make at least $65.

It gives that \(7x+9y\geq65\)

Thus, the system of inequalities are written as

\(x+y\leq18\)

\(7x+9y\geq65\)


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